Prime p₀= 2353699889899817057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: suriv
db: batch=81, k=10, 2 28 2 10 2

TPT(14)	2353698442571162459	0 2 108 110 168 170 222 224 288 290 420 422 432 434	-1447328654598
STPT(10)	2353698867278350127	0 2 30 32 42 44 54 56 84 86	-1022621466930
SPT(16)	2353698895669022309	0 2 50 92 108 134 144 150 182 188 198 224 240 282 330 332	-994230794748
SPT(16)	2353698971678704049	0 2 8 30 38 78 98 102 140 144 164 204 212 234 240 242	-918221113008
SPT(16)	2353699556379509213	0 14 68 78 108 126 144 156 248 260 278 296 326 336 390 404	-333520307844
STPT(10)	2353699704759012521	0 2 6 8 18 20 30 32 36 38	-185140804536
SPT(16)	2353700041969909279	0 28 34 132 154 180 232 258 274 300 352 378 400 498 504 532	152070092222
STPT(10)	2353700798012646911	0 2 6 8 48 50 90 92 96 98	908112829854
STPT(10)	2353700831159073827	0 2 54 56 72 74 90 92 144 146	941259256770
STPT(10)	2353701010022163479	0 2 18 20 30 32 42 44 60 62	1120122346422
SPT(16)	2353701034997454781	0 18 22 30 42 60 72 88 132 148 160 178 190 198 202 220	1145097637724